Bell-type inequalities and upper bounds of multi-qudit states

TL;DR

This paper investigates Bell-type inequalities in multi-qudit quantum systems using tomographic probability representations, comparing classical and quantum results, and explicitly demonstrating violations of these inequalities.

Contribution

It introduces a method to explicitly show Bell-type inequality violations in multi-qudit states within the quantum tomography framework.

Findings

Bell-type inequalities are violated in multi-qudit states.

Quantum tomography effectively reveals nonlocal correlations.

Classical probability bounds are exceeded by quantum predictions.

Abstract

Multi-qudit systems are studied in tomographic probability representations of quantum qudit states. Results of calculations for Bell-type numbers within the framework of classical probability theory and in quantum tomography are compared. Violation of Bell-type inequalities are shown explicitly using the method of averaging in tomographic picture of quantum states.